Seeking sources: Mathematics of knots

Hello everyone,

First of all, I posted this thread here because I really wasn't too sure where else to. I suppose it could have gone in the "Analysis, Topology and Differential Geometry" section, but this isn't exactly university level... well, I'll explain. I apologise if the thread would have been better suited to another section.

I am planning to write my extended essay (a (maximum) 4000 word piece of research carried out approximately March through December) on knots in mathematics. I was wondering whether anyone might have suggestions of books, websites or any other kind of source for information on this subject (in principle simply to get a rough idea of the topic(s) involved)? My maths level is... well, I am studying High Level Mathematics in the International Baccalaureate (IB), 11th grade (for those of you to whom this means nothing, I hear that IB High Level Maths is comparable to or slightly harder than A-leve
Further Mathematics, but don't quote me on this. I'm afraid I don't know about the american system). I am aware that this topic may prove to be too ambitious, but I'm going to give it a go; I am willing to learn. Thank you in advance for any help.

Dan

The Knot Book by Colin Adams has had very good reviews. It claims to need nothing more than high school mathematics as a prerequisite (though one undergraduate reviewer on the Amazon site found it hard going). I haven't seen the book myself, but the review on the American Math. Soc.'s site (pdf download at http://www.ams.org/notices/200508/rev-sossinsky.pdf) shows that it starts at a fairly gentle pace from the very beginnings of the subject, and goes more or less as far as you wnat to take it. You'll certainly find ample material there for an extended essay.

Thanks very, much, I'll have a look at it!